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Simplifying 2(6 + -1z) + y + 3z = 15 (6 * 2 + -1z * 2) + y + 3z = 15 (12 + -2z) + y + 3z = 15 Reorder the terms: 12 + y + -2z + 3z = 15 Combine like terms: -2z + 3z = 1z 12 + y + 1z = 15 Solving 12 + y + 1z = 15 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + y + -12 + 1z = 15 + -12 Reorder the terms: 12 + -12 + y + 1z = 15 + -12 Combine like terms: 12 + -12 = 0 0 + y + 1z = 15 + -12 y + 1z = 15 + -12 Combine like terms: 15 + -12 = 3 y + 1z = 3 Add '-1z' to each side of the equation. y + 1z + -1z = 3 + -1z Combine like terms: 1z + -1z = 0 y + 0 = 3 + -1z y = 3 + -1z Simplifying y = 3 + -1z
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